We have 2 baby bamboo plants each in a tub. Is there any type of
compost best suited to this plant?

the only issues i've seen with container bamboos is that you need good
drainage, but also good moisture retention. i think any compost that
i've seen pretty well satisfies those requirements. different species
*do* have different acid/alkaline desires, so depending on what type
you have that could be an issue.

- gulash.